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arXiv · 1812.05857

One-loop QCD contributions to differential cross-sections for Higgs production at N$^3$LO

Charalampos Anastasiou·Caterina Specchia
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Abstract

We present one-loop contributions to the fully differential Higgs boson gluon-fusion cross-section for Higgs production via gluon fusion. Our results constitute a necessary ingredient of a complete N$^3$LO determination of the cross-section. We perform our computation using a subtraction method for the treatment of soft and collinear singularities. We identify the infrared divergent parts in terms of universal splitting and eikonal functions, and demonstrate how phase-space integrations yield poles (up to $1/ε^6$ ) in the dimensional regulator $ε=(4-d)/2$. We compute the coefficients of the $ε$ expansion, including the finite part numerically. As a demonstration of our numerical implementation, we present the corrections at N$^3$LO due to one-loop amplitudes in the rapidity and transverse momentum of the Higgs boson.

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Charalampos Anastasiou, Caterina Specchia. 2018-12-14. One-loop QCD contributions to differential cross-sections for Higgs production at N$^3$LO. https://doi.org/10.1007/jhep05(2019)080

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